Find the indicated quantities for f(x) = 5x². (A) The slope of the secant line through...
Refer to the graph of y=f(x)=x2 + x shown. Answer parts A-D as an integer or simplified fraction. a) Find the slope of the secant line joining (2, f(2)) and (4, f(4)). b) Find the slope of the secant line joining (2, f(2)) and (2+h, f(2 + h)). c) Find the slope of the graph at (2, f(2)). d) Find the equation of the tangent line to the graph at (2, f(2)). 18- 16- 14 12 10- 8- 6- 49...
7 a. For f(x)= 1 find an equation for the secant line through the points where x = 5 and x = 7 х 7 x b. For f(x) = find an equation for the line tangent to the curve when X=5. a. The equation for the secant line is y = b. The equation for the tangent line is y =
3.4.23 7 a. For f(x)= find an equation for the secant line through the points where x=5 and x = 7. b. For f(x) = find an equation for the line tangent to the curve when x = 5. a. The equation for the secant line is y=. Enter your answer in the answer box and then click Check Answer
5. Find the slope of the tangent line to f (x, y) = 5x + 2y - 10 at (2,5) going northeast. Then find the maximum slope and its direction 5. Find the slope of the tangent line to f (x, y) = 5x + 2y - 10 at (2,5) going northeast. Then find the maximum slope and its direction
For the function g(x)= 10x² + 9x Express the slope of the secant line in terms of x and h. Find m e for h=0.5, 0.1, and 0.01 at x 1. What value does m approach as h approaches 0? (c) Find the equation for the secant line at x 1 with h -0.01. Graph g and the secant line found in part (c) on the same viewing window Find the average rate of change of f(x) x - 2x...
Find the slope of the secant lines over the specified intervals for the function f(x) = x2 + 2x. a) [2, 3] b) [2, 2.1] b) Estimate the slope of the tangent line at x = 2 d) Use your estimate to find the equation of the tangent line at x = 2
Question1 Find the slope of the line that passes through the given points. (4, -5) and (7, -7) Select the correct choice below and, if necessary, fill in the answer box within your choice. A. The slope is (Type an integer or a simplified fraction.) B. The slope is undefined. Question 2 Graph the linear equation and find its slope. AY 10 x= -5 8 Use the graphing tool to graph the linear equation. 6 Click to 4 enlarge graph...
Consider the function x) = 6x + x2 and the point P(-2,-8) on the graph of f (a) Graph f and the secant lines passing through P(-2, -8) and Q(x, f(x)) for x-values of -3, -2.5, -1.5 -10 -8 68 10 -10 -8 2 46 810 -2 -8 8 10 8 10 -10-8 -10-8 -8 (b) Find the slope of each secant line (line passing through Q(-3, f(x))) (line passing through Q(-2.5, f(x))) (line passing through Q(-1.5, f(x))) (c) Use...
Find the slope of the line that is (a) parallel and (b) perpendicular to the line through the pair of points (-4.4) and (0,0) (a) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The slope of the parallel line is undefined O B. The slope of the paralel ine is (Type an integer or a simplified fraction) (b) Select the correct choice below and ifnecessary,illil the answer box to...
Consider the parabola y = 7x - x2. Find the slope m of the tangent line to the parabola at the point (1, 6). using this definition: The tangent line to the curve y = f(x) at the point P(a, f(a)) is the line through P with slope m=lim x rightarrow a f(x)-f(a)/x-a provided that this limit exists. m = using this equation: m=lim h rightarrow 0 f(a+h)-f(a)/h m= Find an equation of the tangent line in part (a). y...